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Finding the Fourth Proportional to 37.46, 56.10 and 23.84

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Solution

The fourth proportional to 37.46, 56.10 and 23.84 is: 35.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.46 : 56.10 = 23.84 : x
  2. Step 2: Convert to fraction form
    37.46/56.10 = 23.84/x
  3. Step 3: Cross multiply
    37.46x = 56.10 × 23.84
  4. Step 4: Simplify right side
    37.46x = 1,337.42
  5. Step 5: Solve for x
    x = 1,337.42/37.46
  6. Step 6: Final answer
    x = 35.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.